OCA:B2i3/S23

B2i3/S23
x=64, y = 64, rule = B2i3/S23 ! #C [[ THEME Inverse ]] #C [[ RANDOMIZE2 RANDSEED 1729 THUMBLAUNCH THUMBNAIL THUMBSIZE 2 GRID ZOOM 6 WIDTH 600 HEIGHT 600 LABEL 90 -20 2 "#G" AUTOSTART PAUSE 2 GPS 8 LOOP 256 ]] LifeViewer-generated pseudorandom soup
Rulestring	23/2i3 B2i3/S23
Character	Explosive
Black/white reversal	B0123478/S012346-i78

B2i3/S23 is an isotropic non-totalistic cellular automaton. In this rule, a cell survives from one generation to the next when it has 2 or 3 neighbours, and a new cell is born when it has 2 opposite orthogonally adjacent neighbours or when it has 3 neighbours. A name "HoneyBomb Life" was proposed for this rule, because honeyfarm predecessors evolve into a sparky p20 oscillator instead.

Patterns

Some patterns from regular Life are compatible with this rule except most spaceships (three notable exceptions are the glider, lobster and 70P2H1V0.1).

Even though B2i3/S23 only differs from Life in one birth condition (B2i), most large soups tend to explode. An example 8-cell exploding pattern is shown below:

x = 4, y = 3, rule = B2i3/S23 bo$b2o$o2bo$b3o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBSIZE 2 ZOOM 30 STEP 3 T 0 PAUSE 2 T 100 ZOOM 5 T 1000 ZOOM 1 T 2000 STEP 6 AUTOSTART LOOP 10000 ]]

An exploding 8-cell pattern (click above to open LifeViewer)

Oscillators

Honey farm constellations exist in the rule, but common predecessors from Life evolve into the p20 "honeybomb" shown below:

x = 73, y = 6, rule = B2i3/S23 72bo$25b2o45bo$24bo2bo20b2o22bo$7o18b3o19bob2o$48b2o21b2o$71b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBZOOM 12 ZOOM 6 GPS 10 WIDTH 1200 ]]

Honey farm predecessors from Life evolving into "honeybomb" (click above to open LifeViewer) Catagolue: here

HoneyBomb can also be a useful middleweight emulator or dot sparker.

x = 132, y = 30, rule = B2i3/S23 47bo23bo$46b3o21b3o43b2ob2o$45b2ob2o19b2ob2o41bobobobo$46b3o21b3o43bo 3bo$47bo23bo$42bo9bo13bo9bo$34b2o5b3o7b3o11b3o7b3o$34b2o4b2ob2o5b2ob2o 9b2ob2o5b2ob2o39bo$32b2o7b3o7b3o11b3o7b3o39b3o$32b2o8bo9bo13bo9bo39b2o b2o$47bo23bo45b3o$46b3o21b3o7b2o24bo11bo11bo$bo43b2ob2o19b2ob2o6bobo22b obo5bo9bo5bobo$obo43b3o21b3o8b2o22b2o5b3o7b3o5b2o$obo30bo13bo23bo39b2o b2o5b2ob2o$bo6bo23b3o51bo18b2o5b3o7b3o5b2o$7b3o21b2ob2o49b3o17bobo5bo 9bo5bobo$6b2ob2o21b3o49b2ob2o17bo11bo11bo$7b3o23bo51b3o29b3o$8bo19bo9b o47bo29b2ob2o$3bo9bo13b3o7b3o41bo9bo25b3o$2b3o7b3o11b2ob2o5b2ob2o39b3o 7b3o25bo$b2ob2o5b2ob2o11b3o7b3o39b2ob2o5b2ob2o$2b3o7b3o13bo9bo41b3o7b 3o$3bo9bo19bo47bo9bo$8bo23b3o51bo29bo3bo$7b3o21b2ob2o49b3o27bobobobo$ 6b2ob2o21b3o49b2ob2o27b2ob2o$7b3o23bo51b3o$8bo77bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ THUMBZOOM 9 ZOOM 4 GPS 10 WIDTH 1500 HEIGHT 600 ]]

HoneyBomb hassling beehive, beacon, ship, and boat (click above to open LifeViewer)

Oscillators of various periods (that are not compatible with Life) were found by FWKnightship using wwei23's "spaceinvaders" modification of apgsearch.

x = 171, y = 141, rule = B2i3/S23 146b3ob3o2$2bob2o125bob2o11bo5bo$2b2obo125b2obo$6b2o121b2o4b2o5bobo2b 2ob2o2bobo$7bo41bo80bo5bo5bo3bo5bo3bo$6bo40b5o77bo5bo6bo3bo5bo3bo$6b2o 3bobobobo4bobobobo17bo5bo76b2o4b2o$2bob2o4bobo3bobo2bobo3bobo2b2o4b2o 5bobobobobo5b2ob2o67bob2o7bo3bo5bo3bo$2b2obo5b3ob3o4bob3obo3bo2bobobo 4bobo5bobo5bobobo66b2obo7bo3bo5bo3bo$2o8bobo3bobo2bobo3bobo3bo10bo9bo 5bo3bo70b2o5bobo2b2ob2o2bobo$bo21bo3bo10bo4b2obo5bob2o3b2obob2o70bo$o 9bobo3bobo2bobo3bobo3bo10bo9bo5bo3bo70bo10bo5bo$2o9b3ob3o4bob3obo9bo5b obo5bobo5bobobo70b2o$2bob2o4bobo3bobo2bobo3bobo2bobobo2bo5bobobobobo5b 2ob2o67bob2o11b3ob3o$2b2obo5bobobobo4bobobobo3b2o4b2o6bo5bo78b2obo$47b 5o$49bo4$2bob2o19bobo122bo$2b2obo20bo11b4ob4o102bobo$6b2o15b2o3b2o8bo 2bobo2bo102bobo$7bo14b2o5b2o5b3o3bo3b3o4b2o3bo3b2o5bo5bo72b2ob2o$6bo15b o7bo5bo11bo4bo2bobobo2bo5b3ob3o55bob2o$6b2o4bobo5bo11bo3bo11bo9bo11b2o b2o50b2o4b2obo13b2ob2o$2bob2o5bobo2bo4bo9bo4b2o9b2o5bobo3bobo8bobo52b o2b2o4b2o12bobo$2b2obo6bo2bobo2bo11bo5bo7bo23b2ob2o50bo4bo5bo13bo$6b2o 6bobo5bo7bo5b2o9b2o4b3o5b3o7bobo51b2o2bo5bo32bo$7bo14b2o5b2o5bo11bo21b 2ob2o51bo2b2o4b2o5bobo11bobo8b2o$6bo16b2o3b2o6bo11bo5bobo3bobo6b3ob3o 49bo4bo5bo3b3ob2o9b2ob3o3b2o$6b2o18bo9b3o3bo3b3o9bo10bo5bo49b2o2bo5bo 3bo6bo7bo6bo3bo3bo$2bob2o19bobo10bo2bobo2bo6bo2bobobo2bo62bo2b2o4b2o3b 3ob2o9b2ob3o8b2o$2b2obo32b4ob4o6b2o3bo3b2o61bo4bo5bo5bobo11bobo7b2o$125b 2o2bo5bo30bo$126bo2b2o4b2o13bo$83b3o39bo5bob2o14bobo$83b3o39b2o4b2obo 13b2ob2o$31b2o48b2o2b3o$31b2o15b2o2b2o15bo11b2o65b2ob2o$30bo2bo13b2o4b 2o13bobo10b3o65bobo$2o4b2o20b3o2b3o32bobo12bo65bobo$bo5bo19bo8bo12b4o 30bo66bo$o5bo19bobob4obobo6bo3bo4bo3bo10b3o$2o4b2o3b2o13bo3b4o3bo5b2o 2bo6bo2b2o8bo3bo$2bob2o6bobo10b2ob2o4b2ob2o4bo2bo8bo2bo7bo5bo10b3o8b3o $2b2obo4bo12b2o3b2o4b2o3b2o5bo8bo6b2obo7bob2o6b3o8b3o33bob2o$6b2o2b2o 2b2o7b2o3b2o4b2o3b2o5bo8bo5bo3bo7bo3bo3b2o2b3o4b2o2b3o25b2o4b2obo$7bo 8bo8b2ob2o4b2ob2o4bo2bo8bo2bo3b2obo7bob2o4b2o4bo4b2o4bo26bo8b2o22bobo 2bo$6bo9bobo7bo3b4o3bo5b2o2bo6bo2b2o7bo5bo8b3o3b3o2b3o3b3o23bo10bo7bo 2bobo8b2ob4o$6b2o4bo13bobob4obobo6bo3bo4bo3bo9bo3bo11bo10bo4b2o23b2o8b o8b4ob2o6bo$7bo4b2o4b2o7bo8bo12b4o15b3o12b3o8b3o2b2o24bo8b2o14bo6b2ob 4o$6bo3b2o4bo2bo8b3o2b3o49bo10b3o25bo5bob2o9b4ob2o8bobo2bo$6b2o2b2o4b 2o12bo2bo13b2o4b2o13bobo14bo10b3o25b2o4b2obo9bo2bobo$31b2o15b2o2b2o14b obo54bo2b2o$31b2o36bo54bo4bo$124b2o2bo$83b3o9b3o27bo2b2o$83b3o9b3o26b o5bob2o$2bob2o75b2o2b3o5b2o2b3o24b2o4b2obo$2b2obo26b2o14b2o11bobo17b2o 4bo5b2o4bo$2o31bo2b2o6b2o2bo10b3ob3o15b3o3b3o3b3o3b3o$bo31bobobo6bobo bo9bo3bo3bo16bo5bo5bo5bo$o31b2obo10bob2o7bo2bobobo2bo15b3o3b3o3b3o3b3o $2o15bobobo8bo3b2o2bob2obo2b2o3bo5bob2o3b2obo17bo11bo4b2o27bob2o$2bob 2o9b2o5b2o9b3o2bo4bo2b3o7b2o4bo4b2o16b3o9b3o2b2o21b2o4b2obo13b6o$2b2o bo9b2o5b2o5bo3bo14bo3bo5b2obobob2o20bo11b3o24bo8b2o$6b2o9bobobo11b3o2b o4bo2b3o7b2o4bo4b2o18bo11b3o23bo10bo9bo8bo$7bo22bo3b2o2bob2obo2b2o3bo 5bob2o3b2obo57b2o8bo10bo8bo$6bo25b2obo10bob2o7bo2bobobo2bo58bo8b2o9bo 8bo$6b2o25bobobo6bobobo9bo3bo3bo58bo5bob2o11bo8bo$2bob2o27bo2b2o6b2o2b o10b3ob3o59b2o4b2obo11bo8bo$2b2obo26b2o14b2o11bobo62bo8b2o9bo8bo$125b o10bo$125b2o8bo12b6o$126bo8b2o$125bo5bob2o$125b2o4b2obo$2bob2o$2b2obo 24b3ob3o$2o31bo$bo17bo8bo9bo$o17b2o8bo9bo$2o15bo3b2o5bo9bo$2bob2o10b2o 3b2o6bo7bo$2b2obo16b2o4bo9bo82bob2o6bob2o$2o4b2o10b2o8bo9bo82b2obo6b2o bo15b3o$bo5bo10b3o7bo9bo86b2o2b2o4b2o13bobo$o5bo13bo12bo92bo3bo5bo13b 3o$2o4b2o22b3ob3o88bo3bo5bo$2bob2o119b2o2b2o4b2o$2b2obo115bob2o5bo5bo 8b3o7b3o$121b2obo4bo5bo9bobo7bobo$119b2o8b2o4b2o8b3o7b3o$120bo9bo5bo$ 119bo9bo5bo$119b2o8b2o4b2o13b3o$2bob2o115bob2o6bob2o15bobo$2b2obo12bo bob2obobo14b3o76b2obo6b2obo15b3o$6b2o11bobo2bobo12b2ob3ob2o$7bo8bo2bo 6bo2bo9bo7bo$6bo10b3obo2bob3o8b2ob7ob2o$6b2o8bo4bo2bo4bo7bobo7bobo$7b o9bob2o4b2obo10bob2ob2obo$6bo9bo12bo6b2obob2ob2obob2o70bob2o5bob2o$6b 2o8bo12bo6b2obo7bob2o70b2obo5b2obo$7bo9bob2o4b2obo7b2obob2ob2obob2o74b 2o7b2o$6bo9bo4bo2bo4bo9bob2ob2obo78bo8bo$6b2o9b3obo2bob3o8bobo7bobo75b o8bo$7bo8bo2bo6bo2bo7b2ob7ob2o75b2o7b2o$6bo12bobo2bobo12bo7bo73bob2o10b o$6b2o10bobob2obobo11b2ob3ob2o73b2obo9bo$42b3o80b2o7b2o9b2o10b2o$126b o8bo4b3obo2bo8bo2bob3o$125bo8bo10b2o10b2o$125b2o7b2o$121bob2o10bo$2bo b2o115b2obo9bo5b2o20b2o$2b2obo128b2o4b2o20b2o$2o4b2o$bo5bo16b2o$o5bo17b 2o$2o4b2o13bo$2bob2o15b2o10bo6bo99b2o16b2o$2b2obo15b3o5b2obobo4bobob2o 95b2o16b2o$2o4b2o22bobobo4bobobo$bo5bo10b2o9bo2bobo4bobo2bo76bob2o6bo b2o$o5bo12bo9b2o2bo6bo2b2o76b2obo6b2obo$2o4b2o111b2o8b2o4b2o$2bob2o114b o9bo5bo6b3o4b2o$2b2obo113bo9bo5bo7bobo3bo2bo$119b2o8b2o4b2o6b3o4b2o$121b ob2o5bo5bo$121b2obo4bo5bo$125b2o2b2o4b2o$126bo3bo5bo$125bo3bo5bo4b2o16b 2o$125b2o2b2o4b2o3b2o16b2o$121bob2o6bob2o$121b2obo6b2obo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 1500 HEIGHT 1400 THUMBSIZE 2 ZOOM 8 GPS 8 AUTOSTART ]]

(click above to open LifeViewer)

In B2i3/S23, the evolution sequence of the barberpole rotor is period-4, and allows mazings to be extended arbitrarily.

x = 31, y = 11, rule = B2i3/S23 22b3o$11b3o8b3o$2b3o6b3o6b2o2b3o$2b3o4b2o2b3o4b2o4bo$2o2b3o2b2o4bo4b3o 3b3o$2o7b3o3b3o4bo5bo$3o8bo10b3o3b3o$2bo8b3o10bo$2bo10bo10b3o$13bo12bo $26bo! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 480 THUMBSIZE 2 ZOOM 30 GPS 2 AUTOSTART X -1/16 ]]

The first three members of an infinite family (click above to open LifeViewer)

In rules with B2i, there is a p2 wick.

x = 23, y = 5, rule = B2i3/S23-c 2o$o$b2obobobobobobobobob2o$22bo$21b2o! #C [[ THUMBSIZE 2 THEME 6 GRID GRIDMAJOR 0 SUPPRESS THUMBLAUNCH ]] #C [[ WIDTH 980 HEIGHT 300 THUMBSIZE 2 ZOOM 36 GPS 3 AUTOSTART ]]

A p2 wick stabilized in B2i3/S23-c (click above to open LifeViewer)

External links

• HoneyBomb Life (discussion thread) at the ConwayLife.com forums
• B2i3/S23 at Adam P. Goucher's Catagolue